Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×Q16×D11 |
| Fitting | C4×C11×Q16 ⋊ C2 |
| Sylow | C11 ⋊ C2×C4×Q16 |
488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1332, #14663524, D11×#1334, … |
| maximal normal subgroup of | D11×#1332, #14663524, D11×#1334, … |
| maximal quotient of | C8×Q16×D11, D11×#1584, D11×#1591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13271);